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Finding the Fourth Proportional to 6,141.36, 8,467.50 and 5,195.52

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Solution

The fourth proportional to 6,141.36, 8,467.50 and 5,195.52 is: 7,163.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,141.36 : 8,467.50 = 5,195.52 : x
  2. Step 2: Convert to fraction form
    6,141.36/8,467.50 = 5,195.52/x
  3. Step 3: Cross multiply
    6,141.36x = 8,467.50 × 5,195.52
  4. Step 4: Simplify right side
    6,141.36x = 43,993,065.60
  5. Step 5: Solve for x
    x = 43,993,065.60/6,141.36
  6. Step 6: Final answer
    x = 7,163.41

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.